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Finding the Third Proportional to 29,752,971 and 45,975,884

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Solution

The third proportional to 29,752,971 and 45,975,884 is: 71,044,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752,971 : 45,975,884 = 45,975,884 : x
  2. Step 2: Convert to fraction form
    29,752,971/45,975,884 = 45,975,884/x
  3. Step 3: Cross multiply
    29,752,971x = 45,975,884 × 45,975,884
  4. Step 4: Simplify right side
    29,752,971x = 2,113,781,909,581,456
  5. Step 5: Solve for x
    x = 2,113,781,909,581,456/29,752,971
  6. Step 6: Final answer
    x = 71,044,397.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.